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Finding the Fourth Proportional to 5,963.81, 8,945.71 and 3,773.16

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Solution

The fourth proportional to 5,963.81, 8,945.71 and 3,773.16 is: 5,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.81 : 8,945.71 = 3,773.16 : x
  2. Step 2: Convert to fraction form
    5,963.81/8,945.71 = 3,773.16/x
  3. Step 3: Cross multiply
    5,963.81x = 8,945.71 × 3,773.16
  4. Step 4: Simplify right side
    5,963.81x = 33,753,585.71
  5. Step 5: Solve for x
    x = 33,753,585.71/5,963.81
  6. Step 6: Final answer
    x = 5,659.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.